TY - JOUR
T1 - An explicit solution to a three-dimensional wedge problem considering two edges effect
AU - GUO, L.
AU - ZHANG, Z. M.
AU - WANG, W.
AU - ZHAO, Y.
AU - WONG, P. L.
PY - 2020/4
Y1 - 2020/4
N2 - The paper presents an explicit matrix algorithm to solve the problem of an elastic wedge with three loaded surfaces. The algorithm makes use of a recently published concept of transformation matrix, by which the original surface loads are converted to equivalent loads in half-space. The three loaded edges are considered simultaneously. The developed algorithm is used to study the effects of two free edges of a steel block and tapered rollers with different contact angles. The two load-free edges can substantially increase deformation if the two edges are close in distance. The results of the tapered roller simulation show that deformation is considerably sensitive to the contact angle of the tapered roller. The largest deformation appears at the big end of the roller. Furthermore, empirical formulae for correction factors for the calculation of block or quarter-space deformation based on half-space solutions are summarized.
AB - The paper presents an explicit matrix algorithm to solve the problem of an elastic wedge with three loaded surfaces. The algorithm makes use of a recently published concept of transformation matrix, by which the original surface loads are converted to equivalent loads in half-space. The three loaded edges are considered simultaneously. The developed algorithm is used to study the effects of two free edges of a steel block and tapered rollers with different contact angles. The two load-free edges can substantially increase deformation if the two edges are close in distance. The results of the tapered roller simulation show that deformation is considerably sensitive to the contact angle of the tapered roller. The largest deformation appears at the big end of the roller. Furthermore, empirical formulae for correction factors for the calculation of block or quarter-space deformation based on half-space solutions are summarized.
KW - contact mechanics
KW - finite line contact
KW - tapered roller contact
KW - two edge surfaces
UR - http://www.scopus.com/inward/record.url?scp=85064692946&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85064692946&origin=recordpage
U2 - 10.1007/s40544-019-0265-7
DO - 10.1007/s40544-019-0265-7
M3 - 21_Publication in refereed journal
VL - 8
SP - 370
EP - 383
JO - Friction
JF - Friction
SN - 2223-7690
IS - 2
ER -